Commutative Algebra

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!

Grab it

COURSE OUTLINE: The main purpose of this course is to provide important workhorses of commutative algebra assuming only a basic course on commutative algebra. Special efforts are made to present the concepts at the center of the field in a coherent, tightly knit way, with streamlined proofs and a focus on the coreresults. Virtually all concepts and results of commutative algebra have natural interpretations. It is the geometric view point that brings out the true meaning of the theory.

ABOUT INSTRUCTOR: Dilip P. Patil received B. Sc. and M. Sc. in Mathematics from the University of Pune in 1976 and 1978, respectively. From 1979 till 1992 he studied Mathematics at School of Mathematics, Tata Institute of Fundamental Research, Bombay and received Ph. D. through University of Bombay in1989. Currently he is a Professor of Mathematics at the Departments of Mathematics, Indian Institute of Science, Bangalore and at present he is a Visiting Professor at the Department of Mathematics, IITBombay. He has been a Visiting Professor at Ruhr-Universität Bochum, Universität Leipzig, Germany and several universities in Europe and Canada. is research interests are mainly in Commutative Algebra and Algebraic Geometry.

Syllabus

Commutative Algebra Prof. Dilip Patil Introduction.
Week 1-Lecture 1.
Week 1-Lecture 2.
Week 1-Lecture 3.
Week 1-Lecture 4.
Week 1-Lecture 5.
Week 2-Lecture 6.
Week 2-Lecture 7.
Week 2-Lecture 8.
Week 2-Lecture 9.
Week 2-Lecture 10.
Week 3-Lecture 11.
Week 3-Lecture 12.
Week 3-Lecture 13.
Week 3-Lecture 14.
Week 3-Lecture 15.
Week 4-Lecture 16.
Week 4-Lecture 17.
Week 4-Lecture 18.
Week 4-Lecture 19.
Week 4-Lecture 20.
Week 5-Lecture 21.
Week 5-Lecture 22.
Week 5-Lecture 23.
Week 5-Lecture 24.
Week 5-Lecture 25.
Week 6-Lecture 26.
Week 6-Lecture 27.
Week 6-Lecture 28.
Week 6-Lecture 29.
Week 6-Lecture 30.
Week 7-Lecture 31.
Week 7-Lecture 32.
Week 7-Lecture 33.
Week 7-Lecture 34.
Week 7-Lecture 35.
Week 8-Lecture 36.
Week 8-Lecture 37.
Week 8-Lecture 38.
Week 8-Lecture 39.
Week 8-Lecture 40.
Week 9-Lecture 41.
Week 9-Lecture 42.
Week 9-Lecture 43.
Week 9-Lecture 44.
Week 9-Lecture 45.
Week 10-Lecture 46.
Week 10-Lecture 47.
Week 10-Lecture 48.
Week 10-Lecture 49.
Week 10-Lecture 50.
Week 11-Lecture 51.
Week 11-Lecture 52.
Week 11-Lecture 53.
Week 11-Lecture 54.
Week 11-Lecture 55.
Week 12-Lecture 56.
Week 12-Lecture 57.
Week 12-Lecture 58.
Week 12-Lecture 59.
Week 12-Lecture 60.